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385350472 = 23134190373
BaseRepresentation
bin10110111101111…
…111101101001000
3222212002211110201
4112331333231020
51242122203342
6102123221544
712356265523
oct2675775510
9885084421
10385350472
1118857a571
12a90778b4
1361ab2640
143926dbba
1523c6cdb7
hex16f7fb48

385350472 has 32 divisors (see below), whose sum is σ = 797098680. Its totient is φ = 173514240.

The previous prime is 385350461. The next prime is 385350527. The reversal of 385350472 is 274053583.

It can be written as a sum of positive squares in 4 ways, for example, as 41396356 + 343954116 = 6434^2 + 18546^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40923 + ... + 49450.

Almost surely, 2385350472 is an apocalyptic number.

It is an amenable number.

385350472 is an abundant number, since it is smaller than the sum of its proper divisors (411748208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

385350472 is a wasteful number, since it uses less digits than its factorization.

385350472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90433 (or 90429 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 37.

The square root of 385350472 is about 19630.3456923203. The cubic root of 385350472 is about 727.6993132914.

The spelling of 385350472 in words is "three hundred eighty-five million, three hundred fifty thousand, four hundred seventy-two".

Divisors: 1 2 4 8 13 26 41 52 82 104 164 328 533 1066 2132 4264 90373 180746 361492 722984 1174849 2349698 3705293 4699396 7410586 9398792 14821172 29642344 48168809 96337618 192675236 385350472